A sample combat

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Round 5: your slate, in the order chosen at the Face-off, against another player's saved army, who had answered 4 questions of their Focus right (their Abacus reads them). The combat is fully determined: you could have worked out this outcome at the Face-off.

Win in 4 exchanges

Opposing slate after the opening
col. 1 col. 2 col. 3 col. 4
back empty cell Minus N1 ATK 2, HP 3 tier 1 empty cell Abacus N1 ATK 5, HP 5 tier 2
front Modulo N1 ATK 3, HP 8 tier 3 Half N1 ATK 2, HP 6 tier 2 Even N2 ATK 3, HP 6 tier 1 Twin N1 ATK 4, HP 6 tier 2
Your slate after the opening
col. 1 col. 2 col. 3 col. 4
front Prime N1 ATK 5, HP 5 tier 2 Zero N1 ATK 0, HP 6 tier 1 Odd N2 ATK 4, HP 5 tier 1 Square N1 ATK 2, HP 5, shield 4 tier 2
back Plus N1 ATK 1, HP 3 tier 1 empty cell Double N1 ATK 1, HP 3 tier 1 Sigma N1 ATK 2, HP 6 tier 3

ATK/HP; +N: shield.

Opening

  1. Additions and subtractions:
    • Your Prime (col. 1): 3 + 2 (your Plus) = 5 ATK.
    • Your Zero (col. 2): 0 − 2 (the enemy Minus) = 0 ATK, not below 0.
    • The enemy Abacus (col. 4, back): 1 + 4 (4 right answers in the Focus) = 5 ATK.
  2. Average: nothing.
  3. Twins:
    • The enemy Twin (col. 4): 2 allies at 2 ATK, +2 ATK and +2 HP, now 4/6.
  4. Power: nothing.
  5. Sum:
    • Your Sigma (col. 4, back): ⌊(5 + 0 + 4 + 2) / 4⌋ = 2 ATK.
  6. Shields:
    • Your Square (col. 4): shield of 2² = 4.

Exchanges

Exchange 1
  • Your Prime (col. 1) hits the enemy Modulo (col. 1): 5 + 3 = 8, HP 8 → 0, falls.
  • Your Odd (col. 3) hits the enemy Even (col. 3): (4 + 3) × 2 = 14, HP 6 → −8, falls.
  • Your Square (col. 4) hits the enemy Twin (col. 4): 2, HP 6 → 4.
  • Your Sigma (col. 4, back) hits the enemy Twin (col. 4): 2, HP 4 → 2.
  • The enemy Modulo (col. 1) hits your Prime (col. 1): 3, HP 5 → 2.
  • The enemy Half (col. 2) hits your Zero (col. 2): max(2, ⌊6 / 2⌋ = 3) = 3, Zero − 1 = 2, HP 6 → 4.
  • The enemy Even (col. 3) hits your Odd (col. 3): 3 + 3 = 6, HP 5 → −1, falls.
  • The enemy Twin (col. 4) hits your Square (col. 4): 4, shield 4 → 0, HP 5 → 5.
  • Down: your Odd (col. 3), the enemy Modulo (col. 1) and the enemy Even (col. 3).
  • Moves up to the front: your Double (col. 3).
Exchange 2
  • Your Prime (col. 1) hits the enemy Half (col. 2): 5 + 3 = 8, HP 6 → −2.
  • Your Double (col. 3) hits the enemy Half (col. 2): 1, HP −2 → −3, falls.
  • Your Square (col. 4) hits the enemy Twin (col. 4): 2, HP 2 → 0.
  • Your Sigma (col. 4, back) hits the enemy Twin (col. 4): 2, HP 0 → −2, falls.
  • The enemy Half (col. 2) hits your Zero (col. 2): max(2, ⌊4 / 2⌋ = 2) = 2, Zero − 1 = 1, HP 4 → 3.
  • The enemy Twin (col. 4) hits your Square (col. 4): 4, HP 5 → 1.
  • Down: the enemy Half (col. 2) and the enemy Twin (col. 4).
  • Move up to the front: the enemy Minus (col. 2) and the enemy Abacus (col. 4).
Exchange 3
  • Your Prime (col. 1) hits the enemy Minus (col. 2): 5 + 3 = 8, HP 3 → −5.
  • Your Double (col. 3) hits the enemy Minus (col. 2): 1, HP −5 → −6, falls.
  • Your Square (col. 4) hits the enemy Abacus (col. 4): 2, HP 5 → 3.
  • Your Sigma (col. 4, back) hits the enemy Abacus (col. 4): 2, HP 3 → 1.
  • The enemy Minus (col. 2) hits your Zero (col. 2): 2, Zero − 1 = 1, HP 3 → 2.
  • The enemy Abacus (col. 4) hits your Square (col. 4): 5, HP 1 → −4, falls.
  • Down: your Square (col. 4) and the enemy Minus (col. 2).
  • Moves up to the front: your Sigma (col. 4).
Exchange 4
  • Your Prime (col. 1) hits the enemy Abacus (col. 4): 5 + 3 = 8, HP 1 → −7.
  • Your Double (col. 3) hits the enemy Abacus (col. 4): 1, HP −7 → −8.
  • Your Sigma (col. 4) hits the enemy Abacus (col. 4): 2, HP −8 → −10, falls.
  • The enemy Abacus (col. 4) hits your Sigma (col. 4): 5, HP 6 → 1.
  • Down: the enemy Abacus (col. 4).

Final state

Opposing slate at the end
col. 1 col. 2 col. 3 col. 4
back empty cell empty cell empty cell empty cell
front empty cell empty cell empty cell empty cell
Your slate at the end
col. 1 col. 2 col. 3 col. 4
front Prime N1 ATK 5, HP 2 tier 2 Zero N1 ATK 0, HP 2 tier 1 Double N1 ATK 1, HP 3 tier 1 Sigma N1 ATK 2, HP 1 tier 3
back Plus N1 ATK 1, HP 3 tier 1 empty cell empty cell empty cell